Answer :
To round each of the numbers in the given data to the nearest ten, follow these detailed steps:
First row:
1. [tex]\( 162 \approx 160 \)[/tex] – The digit in the ones place is 2, which is less than 5, so round down.
2. [tex]\( 253 \approx 250 \)[/tex] – The digit in the ones place is 3, which is less than 5, so round down.
3. [tex]\( 265 \approx 260 \)[/tex] – The digit in the ones place is 5, which is 5 or greater, so round up.
4. [tex]\( 306 \approx 310 \)[/tex] – The digit in the ones place is 6, which is 5 or greater, so round up.
5. [tex]\( 339 \approx 340 \)[/tex] – The digit in the ones place is 9, which is 5 or greater, so round up.
Second row:
1. [tex]\( 179 \approx 180 \)[/tex] – The digit in the ones place is 9, which is 5 or greater, so round up.
2. [tex]\( 253 \approx 250 \)[/tex] – The digit in the ones place is 3, which is less than 5, so round down.
3. [tex]\( 270 \approx 270 \)[/tex] – The digit in the ones place is 0, which is less than 5, so it stays the same.
4. [tex]\( 310 \approx 310 \)[/tex] – The digit in the ones place is 0, which is less than 5, so it stays the same.
5. [tex]\( 340 \approx 340 \)[/tex] – The digit in the ones place is 0, which is less than 5, so it stays the same.
Third row:
1. [tex]\( 206 \approx 210 \)[/tex] – The digit in the ones place is 6, which is 5 or greater, so round up.
2. [tex]\( 259 \approx 260 \)[/tex] – The digit in the ones place is 9, which is 5 or greater, so round up.
3. [tex]\( 280 \approx 280 \)[/tex] – The digit in the ones place is 0, which is less than 5, so it stays the same.
4. [tex]\( 319 \approx 320 \)[/tex] – The digit in the ones place is 9, which is 5 or greater, so round up.
5. [tex]\( 369 \approx 370 \)[/tex] – The digit in the ones place is 9, which is 5 or greater, so round up.
Fourth row:
1. [tex]\( 206 \approx 210 \)[/tex] – The digit in the ones place is 6, which is 5 or greater, so round up.
2. [tex]\( 264 \approx 260 \)[/tex] – The digit in the ones place is 4, which is less than 5, so round down.
3. [tex]\( 284 \approx 280 \)[/tex] – The digit in the ones place is 4, which is less than 5, so round down.
4. [tex]\( 320 \approx 320 \)[/tex] – The digit in the ones place is 0, which is less than 5, so it stays the same.
5. [tex]\( 409 \approx 410 \)[/tex] – The digit in the ones place is 9, which is 5 or greater, so round up.
Fifth row:
1. [tex]\( 223 \approx 220 \)[/tex] – The digit in the ones place is 3, which is less than 5, so round down.
2. [tex]\( 265 \approx 260 \)[/tex] – The digit in the ones place is 5, which is 5 or greater, so round up.
3. [tex]\( 290 \approx 290 \)[/tex] – The digit in the ones place is 0, which is less than 5, so it stays the same.
4. [tex]\( 320 \approx 320 \)[/tex] – The digit in the ones place is 0, which is less than 5, so it stays the same.
5. [tex]\( 420 \approx 420 \)[/tex] – The digit in the ones place is 0, which is less than 5, so it stays the same.
The rounded data to the nearest ten is:
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline 160 & 250 & 260 & 310 & 340 \\ \hline 180 & 250 & 270 & 310 & 340 \\ \hline 210 & 260 & 280 & 320 & 370 \\ \hline 210 & 260 & 280 & 320 & 410 \\ \hline 220 & 260 & 290 & 320 & 420 \\ \hline \end{array} \][/tex]
First row:
1. [tex]\( 162 \approx 160 \)[/tex] – The digit in the ones place is 2, which is less than 5, so round down.
2. [tex]\( 253 \approx 250 \)[/tex] – The digit in the ones place is 3, which is less than 5, so round down.
3. [tex]\( 265 \approx 260 \)[/tex] – The digit in the ones place is 5, which is 5 or greater, so round up.
4. [tex]\( 306 \approx 310 \)[/tex] – The digit in the ones place is 6, which is 5 or greater, so round up.
5. [tex]\( 339 \approx 340 \)[/tex] – The digit in the ones place is 9, which is 5 or greater, so round up.
Second row:
1. [tex]\( 179 \approx 180 \)[/tex] – The digit in the ones place is 9, which is 5 or greater, so round up.
2. [tex]\( 253 \approx 250 \)[/tex] – The digit in the ones place is 3, which is less than 5, so round down.
3. [tex]\( 270 \approx 270 \)[/tex] – The digit in the ones place is 0, which is less than 5, so it stays the same.
4. [tex]\( 310 \approx 310 \)[/tex] – The digit in the ones place is 0, which is less than 5, so it stays the same.
5. [tex]\( 340 \approx 340 \)[/tex] – The digit in the ones place is 0, which is less than 5, so it stays the same.
Third row:
1. [tex]\( 206 \approx 210 \)[/tex] – The digit in the ones place is 6, which is 5 or greater, so round up.
2. [tex]\( 259 \approx 260 \)[/tex] – The digit in the ones place is 9, which is 5 or greater, so round up.
3. [tex]\( 280 \approx 280 \)[/tex] – The digit in the ones place is 0, which is less than 5, so it stays the same.
4. [tex]\( 319 \approx 320 \)[/tex] – The digit in the ones place is 9, which is 5 or greater, so round up.
5. [tex]\( 369 \approx 370 \)[/tex] – The digit in the ones place is 9, which is 5 or greater, so round up.
Fourth row:
1. [tex]\( 206 \approx 210 \)[/tex] – The digit in the ones place is 6, which is 5 or greater, so round up.
2. [tex]\( 264 \approx 260 \)[/tex] – The digit in the ones place is 4, which is less than 5, so round down.
3. [tex]\( 284 \approx 280 \)[/tex] – The digit in the ones place is 4, which is less than 5, so round down.
4. [tex]\( 320 \approx 320 \)[/tex] – The digit in the ones place is 0, which is less than 5, so it stays the same.
5. [tex]\( 409 \approx 410 \)[/tex] – The digit in the ones place is 9, which is 5 or greater, so round up.
Fifth row:
1. [tex]\( 223 \approx 220 \)[/tex] – The digit in the ones place is 3, which is less than 5, so round down.
2. [tex]\( 265 \approx 260 \)[/tex] – The digit in the ones place is 5, which is 5 or greater, so round up.
3. [tex]\( 290 \approx 290 \)[/tex] – The digit in the ones place is 0, which is less than 5, so it stays the same.
4. [tex]\( 320 \approx 320 \)[/tex] – The digit in the ones place is 0, which is less than 5, so it stays the same.
5. [tex]\( 420 \approx 420 \)[/tex] – The digit in the ones place is 0, which is less than 5, so it stays the same.
The rounded data to the nearest ten is:
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline 160 & 250 & 260 & 310 & 340 \\ \hline 180 & 250 & 270 & 310 & 340 \\ \hline 210 & 260 & 280 & 320 & 370 \\ \hline 210 & 260 & 280 & 320 & 410 \\ \hline 220 & 260 & 290 & 320 & 420 \\ \hline \end{array} \][/tex]
